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Finding the Third Proportional to 299,821.50 and 455,871

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Solution

The third proportional to 299,821.50 and 455,871 is: 693,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,821.50 : 455,871 = 455,871 : x
  2. Step 2: Convert to fraction form
    299,821.50/455,871 = 455,871/x
  3. Step 3: Cross multiply
    299,821.50x = 455,871 × 455,871
  4. Step 4: Simplify right side
    299,821.50x = 207,818,368,641
  5. Step 5: Solve for x
    x = 207,818,368,641/299,821.50
  6. Step 6: Final answer
    x = 693,140.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.